Finite Group Databasebeta

← C2×#44184 #7668176

Subgroups — C2×#44184 #7668176

Order 512.

9164 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#553C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2727C211yesmaximal, characteristic, complemented
4C2×#2714C211yesmaximal, characteristic, complemented
5C2×#2711C211yesmaximal, characteristic, complemented
6C2×#2710C211yesmaximal, characteristic, complemented
7C2×#2676C211yesmaximal, characteristic, complemented
8C2×#2671C211yesmaximal, characteristic, complemented
9C2×#2669C211yesmaximal, characteristic, complemented
10C2×#2669C211yesmaximal, characteristic, complemented
11#44184C2132yesmaximal, direct product factor
12C2×#2541C211yesmaximal, characteristic, complemented
13C2×#2544C211yesmaximal, characteristic, complemented
14C2×#2610C211yesmaximal, characteristic, complemented
15C2×#2556C211yesmaximal, characteristic, complemented
16C2×#2555C211yesmaximal, characteristic, complemented
17C2×#2539C211yesmaximal, characteristic, complemented
18C2×#2445C211yesmaximal, characteristic, complemented
19C2×#2428C211yesmaximal, characteristic, complemented
20C2×#2428C211yesmaximal, characteristic, complemented
21C2×#2467C211yesmaximal, characteristic, complemented
22C2×#2456C211yesmaximal, characteristic, complemented
23C2×#2456C211yesmaximal, characteristic, complemented
24C2×#2455C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic, complemented
26C2×#2424C211yesmaximal, characteristic, complemented
27C2×#2443C211yesmaximal, characteristic, complemented
28C2×#2397C211yesmaximal, characteristic, complemented
29C2×#2373C211yesmaximal, characteristic, complemented
30C2×#2361C211yesmaximal, characteristic, complemented
31C2×#2358C211yesmaximal, characteristic, complemented
32C2×#2324C211yesmaximal, characteristic, complemented
33C2×#553—216no—
34C2×#553C22116yescomplemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C22×#127C2211yescharacteristic
38C22×#127C2211yescharacteristic
39C22×#127C2211yescharacteristic, complemented
40C22×#126C2211yescharacteristic
41C22×#126C2211yescharacteristic
42C22×#126C2211yescharacteristic, complemented
43C22×#125C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#124C2211yescharacteristic, complemented
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×#123C2211yescharacteristic, complemented
52C22×C22⋊Q8C2211yescharacteristic
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic, complemented
66C22×#121C2211yescharacteristic, complemented
67C22×#120C2211yescharacteristic
68C22×#120C2211yescharacteristic
69C22×#120C2211yescharacteristic
70C22×#120C2211yescharacteristic
71C22×#120C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic, complemented
79C22×C4×D4C2211yescharacteristic, complemented
80C22×C4×D4C2211yescharacteristic, complemented
81C22×C4×D4C2211yescharacteristic, complemented
82C22×C4×D4C2211yescharacteristic, complemented
83C22×#117C2211yescharacteristic, complemented
84C23×C4⋊C4C2211yescharacteristic, complemented
85C23×C22⋊C4C2211yescharacteristic
86C23×C22⋊C4C2211yescharacteristic
87#2727C22116yescomplemented
88#2714C22116yescomplemented
89#2711C22116yescomplemented
90#2710C22116yescomplemented
91#2676C22116yescomplemented
92#2671C22116yescomplemented
93#2669C22116yescomplemented
94#2669C22116yescomplemented
95#2610C22116yescomplemented
96#2556C22116yescomplemented
97#2555C22116yescomplemented
98#2544C22116yescomplemented
99#2541C22116yescomplemented
100#2539C22116yescomplemented
101#2467C22116yescomplemented
102#2456C22116yescomplemented
103#2456C22116yescomplemented
104#2455C22116yescomplemented
105#2445C22116yescomplemented
106#2443C22116yescomplemented
107#2428C22116yescomplemented
108#2428C22116yescomplemented
109#2424C22116yescomplemented
110#2424C22116yescomplemented
111#2397C22116yescomplemented
112C2×#399C2211yescharacteristic
113C2×#399C2211yescharacteristic
114C2×#399C2211yescharacteristic, complemented
115C2×#399C2211yescharacteristic, complemented
116C2×#399C2211yescharacteristic, complemented
117C2×#398C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic, complemented
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic, complemented
122C2×#395C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#393C2211yescharacteristic, complemented
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic, complemented
152#2373C22116yescomplemented
153#2361C22116yescomplemented
154#2358C22116yescomplemented
155#2324C22116yescomplemented
156C2×#391C2211yescharacteristic, complemented
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic, complemented
165C2×#390C2211yescharacteristic, complemented
166C2×#390C2211yescharacteristic, complemented
167C2×#390C2211yescharacteristic, complemented
168C2×#389C2211yescharacteristic, complemented
169C2×#389C2211yescharacteristic, complemented
170C2×#389C2211yescharacteristic, complemented
171C2×#389C2211yescharacteristic, complemented
172C2×#389C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#388C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#387C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#386C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#385C2211yescharacteristic
207C2×#385C2211yescharacteristic
208C2×#385C2211yescharacteristic, complemented
209C2×#385C2211yescharacteristic, complemented
210C2×#385C2211yescharacteristic, complemented
211C2×#385C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C2×#376C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259#553—2128no—
260#538—2128no—
261C2×#127—44no—
262C2×#127—44no—
263C2×#127—44no—
264C2×#127C2318yes—
265C2×#127C2318yes—
266C2×#127C2318yescomplemented
267C2×#126—28no—
268C2×#126—28no—
269C2×#126D4116yescomplemented
270C2×#126C2318yes—
271C2×#126C2318yes—
272C2×#126C2318yescomplemented
273C2×#125—28no—
274C2×#125C2318yescomplemented
275C2×#124—28no—
276C2×#124—28no—
277C2×#124—44no—
278C2×#124C2318yes—
279C2×#124C2318yes—
280C2×#124C2318yescomplemented
281C2×#123—28no—
282C2×#123—28no—
283C2×#123—28no—
284C2×#123—28no—
285C2×#123—44no—
286C2×#123C2318yes—
287C2×#123C2318yes—
288C2×#123C2318yes—
289C2×#123C2318yes—
290C2×#123C2318yescomplemented
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8C2318yes—
293C2×#121—28no—
294C2×#121—28no—
295C2×#121—28no—
296C2×#121—28no—
297C2×#121—28no—
298C2×#121—28no—
299C2×#121—28no—
300C2×#121—28no—
301C2×#121—28no—
302C2×#121—44no—
303C2×#121—44no—
304C2×#121—44no—
305C2×#121—44no—
306C2×#121—44no—
307C2×#121C2318yes—
308C2×#121C2318yes—
309C2×#121C2318yes—
310C2×#121C2318yes—
311C2×#121C2318yes—
312C2×#121C2318yes—
313C2×#121C2318yes—
314C2×#121C2318yes—
315C2×#121C2318yes—
316C2×#121C2318yes—
317C2×#121C2318yes—
318C2×#121C2318yes—
319C2×#121C2318yescomplemented
320C2×#121C2318yescomplemented
321C2×#120—28no—
322C2×#120—28no—
323C2×#120—28no—
324C2×#120—44no—
325C2×#120—44no—
326C2×#120C2318yes—
327C2×#120C2318yes—
328C2×#120C2318yes—
329C2×#120C2318yes—
330C2×#120C2318yes—
331C2×C4×D4—28no—
332C2×C4×D4—28no—
333C2×C4×D4—28no—
334C2×C4×D4—28no—
335C2×C4×D4—28no—
336C2×C4×D4—28no—
337C2×C4×D4—44no—
338C2×C4×D4—44no—
339C2×C4×D4—44no—
340C2×C4×D4—44no—
341C2×C4×D4—44no—
342C2×C4×D4C2318yes—
343C2×C4×D4C2318yes—
344C2×C4×D4C2318yes—
345C2×C4×D4C2318yes—
346C2×C4×D4C2318yes—
347C2×C4×D4C2318yes—
348C2×C4×D4C2318yescomplemented
349C2×C4×D4C2318yescomplemented
350C2×C4×D4C2318yescomplemented
351C2×C4×D4C2318yescomplemented
352C2×C4×D4C2318yescomplemented
353C2×#117—28no—
354C2×#117C2318yescomplemented
355C22×C4⋊C4—28no—
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2318yescomplemented
383C22×C22⋊C4—28no—
384C22×C22⋊C4—44no—
385C22×C22⋊C4C2318yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2318yes—
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2311yescharacteristic
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2311yescharacteristic
436C22×C22⋊C4C2311yescharacteristic
437C22×C22⋊C4C2311yescharacteristic
438C22×C22⋊C4C2311yescharacteristic
439C22×C22⋊C4C2311yescharacteristic
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454#399C2318yes—
455#399C2318yes—
456#399C2318yescomplemented
457#399C2318yescomplemented
458#399C2318yescomplemented
459#398C2318yescomplemented
460#397C2318yescomplemented
461#396C2318yes—
462#396C2318yes—
463#396C2318yescomplemented
464#395C2318yescomplemented
465#394C2318yes—
466#394C2318yes—
467#394C2318yes—
468#394C2318yes—
469#394C2318yes—
470#394C2318yes—
471#394C2318yes—
472#394C2318yes—
473#394C2318yescomplemented
474#394C2318yescomplemented
475#394C2318yescomplemented
476#394C2318yescomplemented
477#394C2318yescomplemented
478#394C2318yescomplemented
479#393C2318yescomplemented
480#392C2318yes—
481#392C2318yes—
482#392C2318yes—
483#392C2318yes—
484#392C2318yes—
485#392C2318yes—
486#392C2318yes—
487#392C2318yes—
488#392C2318yes—
489#392C2318yes—
490#392C2318yes—
491#392C2318yes—
492#392C2318yescomplemented
493#392C2318yescomplemented
494#391C2318yescomplemented
495#390C2318yes—
496#390C2318yes—
497#390C2318yes—
498#390C2318yes—
499#390C2318yes—
500#390C2318yes—
501#390C2318yes—
502#390C2318yescomplemented
503#390C2318yescomplemented
504#390C2318yescomplemented
505#390C2318yescomplemented
506#389C2318yescomplemented
507#389C2318yescomplemented
508#389C2318yescomplemented
509#389C2318yescomplemented
510#389C2318yescomplemented
511#388C2318yes—
512#388C2318yes—
513#388C2318yes—
514#388C2318yes—
515#388C2318yes—
516#388C2318yes—
517#388C2318yes—
518#388C2318yes—
519#388C2318yescomplemented
520#388C2318yescomplemented
521#388C2318yescomplemented
522#388C2318yescomplemented
523#388C2318yescomplemented
524#387C2318yescomplemented
525#387C2318yescomplemented
526#387C2318yescomplemented
527#387C2318yescomplemented
528#386C2318yes—
529#386C2318yes—
530#386C2318yes—
531#386C2318yes—
532#386C2318yes—
533#386C2318yes—
534#386C2318yes—
535#386C2318yes—
536#386C2318yes—
537#386C2318yescomplemented
538#386C2318yescomplemented
539#386C2318yescomplemented
540#386C2318yescomplemented
541#386C2318yescomplemented
542#385C2318yes—
543#385C2318yes—
544#385C2318yes—
545#385C2318yes—
546#385C2318yescomplemented
547#385C2318yescomplemented
548#385C2318yescomplemented
549#385C2318yescomplemented
550#380C2318yescomplemented
551C4×C4⋊C4C2318yescomplemented
552C4×C4⋊C4C2318yescomplemented
553C4×C4⋊C4C2318yescomplemented
554C4×C22⋊C4C2318yes—
555C4×C22⋊C4C2318yes—
556C4×C22⋊C4C2318yes—
557C4×C22⋊C4C2318yescomplemented
558#376C2318yescomplemented
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2311yescharacteristic
580C2×#95C2311yescharacteristic
581C2×#95C2311yescharacteristic
582C2×#95C2311yescharacteristic
583C25—24no—
584C25—24no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2411yescharacteristic
595C25C2411yescharacteristic
596C25C2411yescharacteristic
597C25C2411yescharacteristic
598C25C2414yes—
599C22×Q8—24no—
600C22×Q8—42no—
601C22×Q8—42no—
602C22×Q8C2414yes—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—24no—
611C22×D4—24no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4—42no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—42no—
675C22×D4—42no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C23×C4—24no—
704C23×C4—24no—
705C23×C4—24no—
706C23×C4—24no—
707C23×C4—24no—
708C23×C4—24no—
709C23×C4—24no—
710C23×C4—24no—
711C23×C4—24no—
712C23×C4—24no—
713C23×C4—24no—
714C23×C4—24no—
715C23×C4—24no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—42no—
719C23×C4—42no—
720C23×C4—42no—
721C23×C4—42no—
722C23×C4—42no—
723C23×C4—42no—
724C23×C4—42no—
725C23×C4—42no—
726C23×C4—42no—
727C23×C4—42no—
728C23×C4—42no—
729C23×C4—42no—
730C23×C4—42no—
731C23×C4—42no—
732C23×C4—42no—
733C23×C4—42no—
734C23×C4—42no—
735C23×C4—42no—
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2414yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770#127—416no—
771#127—416no—
772#127—416no—
773#126—232no—
774#126—232no—
775#126C2×D4164yescomplemented
776#125—232no—
777#124—232no—
778#124—232no—
779#124—416no—
780#123—232no—
781#123—232no—
782#123—232no—
783#123—232no—
784#123—416no—
785C22⋊Q8—232no—
786#121—232no—
787#121—232no—
788#121—232no—
789#121—232no—
790#121—232no—
791#121—232no—
792#121—232no—
793#121—232no—
794#121—232no—
795#121—416no—
796#121—416no—
797#121—416no—
798#121—416no—
799#121—416no—
800#120—232no—
801#120—232no—
802#120—232no—
803#120—416no—
804#120—416no—
805C4×D4—232no—
806C4×D4—232no—
807C4×D4—232no—
808C4×D4—232no—
809C4×D4—232no—
810C4×D4—232no—
811C4×D4—416no—
812C4×D4—416no—
813C4×D4—416no—
814C4×D4—416no—
815C4×D4—416no—
816#117—232no—
817C2×C4⋊C4—24no—
818C2×C4⋊C4—24no—
819C2×C4⋊C4—24no—
820C2×C4⋊C4—24no—
821C2×C4⋊C4—24no—
822C2×C4⋊C4—24no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4—24no—
825C2×C4⋊C4—24no—
826C2×C4⋊C4—24no—
827C2×C4⋊C4—24no—
828C2×C4⋊C4—24no—
829C2×C4⋊C4—24no—
830C2×C4⋊C4—24no—
831C2×C4⋊C4—24no—
832C2×C4⋊C4—232no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—42no—
835C2×C4⋊C4—42no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4—42no—
839C2×C4⋊C4—42no—
840C2×C4⋊C4—42no—
841C2×C4⋊C4C2×D418yes—
842C2×C4⋊C4C2×D418yes—
843C2×C4⋊C4C2×D418yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—24no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—24no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—24no—
882C2×C22⋊C4—24no—
883C2×C22⋊C4—24no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—24no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—24no—
897C2×C22⋊C4—24no—
898C2×C22⋊C4—24no—
899C2×C22⋊C4—24no—
900C2×C22⋊C4—24no—
901C2×C22⋊C4—232no—
902C2×C22⋊C4—416no—
903C2×C22⋊C4—42no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—42no—
908C2×C22⋊C4—42no—
909C2×C22⋊C4—42no—
910C2×C22⋊C4—42no—
911C2×C22⋊C4—42no—
912C2×C22⋊C4—42no—
913C2×C22⋊C4—42no—
914C2×C22⋊C4—42no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—42no—
917C2×C22⋊C4—42no—
918C2×C22⋊C4—42no—
919C2×C22⋊C4—42no—
920C2×C22⋊C4—42no—
921C2×C22⋊C4—42no—
922C2×C22⋊C4—42no—
923C2×C22⋊C4—42no—
924C2×C22⋊C4C2×D418yes—
925C2×C22⋊C4C2×D418yes—
926C2×C22⋊C4C2×D418yes—
927C2×C22⋊C4#4118yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C42—24no—
985C2×C42—24no—
986C2×C42—24no—
987C2×C42—24no—
988C2×C42—24no—
989C2×C42—24no—
990C2×C42—42no—
991C2×C42—42no—
992C2×C42—42no—
993C2×C42—42no—
994C2×C42C2×D418yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—22no—
1074C24—22no—
1075C24—22no—
1076C24—22no—
1077C24—22no—
1078C24—22no—
1079C24—22no—
1080C24—22no—
1081C24—22no—
1082C24—22no—
1083C24—28no—
1084C24—28no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—416no—
1091C24—416no—
1092C24—88no—
1093C24—88no—
1094C24—88no—
1095C24—88no—
1096C24—88no—
1097C24C22×D414yes—
1098C24C2×#4114yes—
1099C24H(5,𝔽2)14yes—
1100C24C2512yes—
1101C24C2512yes—
1102C24C2512yes—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2512yes—
1107C24C2512yes—
1108C24C2511yescharacteristic
1109C2×Q8—28no—
1110C2×Q8—44no—
1111C2×Q8—44no—
1112C2×Q8—88no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—416no—
1160C2×D4—416no—
1161C2×D4—416no—
1162C2×D4—416no—
1163C2×D4—416no—
1164C2×D4—416no—
1165C2×D4—416no—
1166C2×D4—416no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—416no—
1197C2×D4—416no—
1198C2×D4—416no—
1199C2×D4—88no—
1200C2×D4—88no—
1201C2×D4—88no—
1202C2×D4—88no—
1203C2×D4—88no—
1204C2×D4—88no—
1205C2×D4—88no—
1206C2×D4—88no—
1207C2×D4—88no—
1208C2×D4—88no—
1209C2×D4—88no—
1210C2×D4—88no—
1211C2×D4—88no—
1212C2×D4—88no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—28no—
1278C22×C4—28no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—28no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—416no—
1288C22×C4—416no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—88no—
1308C22×C4—88no—
1309C22×C4—88no—
1310C22×C4—88no—
1311C22×C4—88no—
1312C22×C4—88no—
1313C22×C4—88no—
1314C22×C4—88no—
1315C22×C4—88no—
1316C22×C4C22×D414yes—
1317C22×C4C22×D414yes—
1318C22×C4C22×D414yes—
1319C22×C4C22×D414yes—
1320C22×C4C22×D414yes—
1321C22×C4C22×D414yes—
1322C22×C4C2×#4114yes—
1323C22×C4C2×#4114yes—
1324C22×C4H(5,𝔽2)14yes—
1325C22×C4H(5,𝔽2)14yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—28no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—28no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4C22×D4116yes—
1373C4⋊C4C22×D4116yes—
1374C4⋊C4C22×D4116yes—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4C22×D4116yes—
1428C22⋊C4C22×D4116yes—
1429C22⋊C4C22×D4116yes—
1430C22⋊C4C2×#41116yes—
1431C42—28no—
1432C42—28no—
1433C42—28no—
1434C42—28no—
1435C42—28no—
1436C42—28no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42C22×D4116yes—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—28no—
1461C23—28no—
1462C23—28no—
1463C23—28no—
1464C23—28no—
1465C23—28no—
1466C23—28no—
1467C23—28no—
1468C23—28no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—416no—
1505C23—416no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—88no—
1554C23—88no—
1555C23—88no—
1556C23—88no—
1557C23—88no—
1558C23—864no—
1559C23C23×D414yes—
1560C23C23×D412yes—
1561C23C22×#4114yes—
1562C23C22×#4112yes—
1563C23C2×H(5,𝔽2)14yes—
1564C23C2×H(5,𝔽2)12yes—
1565C23C2×H(5,𝔽2)12yes—
1566C23C2×H(5,𝔽2)12yes—
1567C23#58512yes—
1568C23#58512yes—
1569C23C2611yescharacteristic
1570Q8—88no—
1571D4—416no—
1572D4—416no—
1573D4—416no—
1574D4—416no—
1575D4—416no—
1576D4—416no—
1577D4—416no—
1578D4—416no—
1579D4—416no—
1580D4—416no—
1581D4—416no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—88no—
1595D4—88no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—28no—
1617C2×C4—28no—
1618C2×C4—28no—
1619C2×C4—28no—
1620C2×C4—28no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—28no—
1624C2×C4—28no—
1625C2×C4—28no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—416no—
1666C2×C4—416no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—88no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4—88no—
1684C2×C4—88no—
1685C2×C4—88no—
1686C2×C4—88no—
1687C2×C4—88no—
1688C2×C4—88no—
1689C2×C4C23×D414yes—
1690C2×C4C23×D414yes—
1691C2×C4C23×D414yes—
1692C2×C4C23×D414yes—
1693C2×C4C23×D414yes—
1694C2×C4C23×D414yes—
1695C2×C4C22×#4114yes—
1696C2×C4C22×#4114yes—
1697C2×C4C2×H(5,𝔽2)14yes—
1698C2×C4C2×H(5,𝔽2)14yes—
1699C22—24no—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—24no—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—416no—
1720C22—416no—
1721C22—416no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—832no—
1759C22—88no—
1760C22—88no—
1761C22—88no—
1762C22—88no—
1763C22—88no—
1764C22D4×#4114yes—
1765C22#348814yes—
1766C22#349814yes—
1767C22#350614yes—
1768C22#351914yes—
1769C22#353314yes—
1770C22#353414yes—
1771C22C24×D411yescharacteristic
1772C22C23×#4111yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C22×H(5,𝔽2)11yescharacteristic
1776C22C2×#58511yescharacteristic
1777C22C2×#58511yescharacteristic
1778C4—24no—
1779C4—24no—
1780C4—24no—
1781C4—24no—
1782C4—24no—
1783C4—24no—
1784C4—24no—
1785C4—24no—
1786C4—24no—
1787C4—24no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C2—44no—
1802C2—44no—
1803C2—44no—
1804C2—82no—
1805C2—82no—
1806C2—82no—
1807C2—82no—
1808C2—82no—
1809C2#4418418yesdirect product factor
1810C2C2×D4×#4111yescharacteristic
1811C2C2×#353411yescharacteristic
1812C2C2×#353311yescharacteristic
1813C2C2×#350611yescharacteristic
1814C2C2×#351911yescharacteristic
1815C2C2×#348811yescharacteristic
1816C2C2×#349811yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#553C2semidirect
2. C22×#538C2semidirect
3. C2×#2727C2semidirect
4. C2×#2714C2semidirect
5. C2×#2711C2semidirect
6. C2×#2710C2semidirect
7. C2×#2676C2semidirect
8. C2×#2671C2semidirect
9. C2×#2669C2semidirect
10. C2×#2669C2semidirect
11. #44184C2direct (N × H)
12. C2×#2541C2semidirect
13. C2×#2544C2semidirect
14. C2×#2610C2semidirect
15. C2×#2556C2semidirect
16. C2×#2555C2semidirect
17. C2×#2539C2semidirect
18. C2×#2445C2semidirect
19. C2×#2428C2semidirect
20. C2×#2428C2semidirect
21. C2×#2467C2semidirect
22. C2×#2456C2semidirect
23. C2×#2456C2semidirect
24. C2×#2455C2semidirect
25. C2×#2424C2semidirect
26. C2×#2424C2semidirect
27. C2×#2443C2semidirect
28. C2×#2397C2semidirect
29. C2×#2373C2semidirect
30. C2×#2361C2semidirect
31. C2×#2358C2semidirect
32. C2×#2324C2semidirect
34. C2×#553C22semidirect
36. C2×#538C22semidirect
39. C22×#127C22semidirect
42. C22×#126C22semidirect
43. C22×#125C22semidirect
46. C22×#124C22semidirect
51. C22×#123C22semidirect
65. C22×#121C22semidirect
66. C22×#121C22semidirect
78. C22×C4×D4C22semidirect
79. C22×C4×D4C22semidirect
80. C22×C4×D4C22semidirect
81. C22×C4×D4C22semidirect
82. C22×C4×D4C22semidirect
83. C22×#117C22semidirect
84. C23×C4⋊C4C22semidirect
87. #2727C22semidirect
88. #2714C22semidirect
89. #2711C22semidirect
90. #2710C22semidirect
91. #2676C22semidirect
92. #2671C22semidirect
93. #2669C22semidirect
94. #2669C22semidirect
95. #2610C22semidirect
96. #2556C22semidirect
97. #2555C22semidirect
98. #2544C22semidirect
99. #2541C22semidirect
100. #2539C22semidirect
101. #2467C22semidirect
102. #2456C22semidirect
103. #2456C22semidirect
104. #2455C22semidirect
105. #2445C22semidirect
106. #2443C22semidirect
107. #2428C22semidirect
108. #2428C22semidirect
109. #2424C22semidirect
110. #2424C22semidirect
111. #2397C22semidirect
114. C2×#399C22semidirect
115. C2×#399C22semidirect
116. C2×#399C22semidirect
117. C2×#398C22semidirect
118. C2×#397C22semidirect
121. C2×#396C22semidirect
122. C2×#395C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#393C22semidirect
150. C2×#392C22semidirect
151. C2×#392C22semidirect
152. #2373C22semidirect
153. #2361C22semidirect
154. #2358C22semidirect
155. #2324C22semidirect
156. C2×#391C22semidirect
164. C2×#390C22semidirect
165. C2×#390C22semidirect
166. C2×#390C22semidirect
167. C2×#390C22semidirect
168. C2×#389C22semidirect
169. C2×#389C22semidirect
170. C2×#389C22semidirect
171. C2×#389C22semidirect
172. C2×#389C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#388C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
188. C2×#387C22semidirect
189. C2×#387C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
203. C2×#386C22semidirect
208. C2×#385C22semidirect
209. C2×#385C22semidirect
210. C2×#385C22semidirect
211. C2×#385C22semidirect
212. C2×#380C22semidirect
213. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C4⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C2×#376C22semidirect
266. C2×#127C23semidirect
269. C2×#126D4semidirect
272. C2×#126C23semidirect
274. C2×#125C23semidirect
280. C2×#124C23semidirect
290. C2×#123C23semidirect
319. C2×#121C23semidirect
320. C2×#121C23semidirect
348. C2×C4×D4C23semidirect
349. C2×C4×D4C23semidirect
350. C2×C4×D4C23semidirect
351. C2×C4×D4C23semidirect
352. C2×C4×D4C23semidirect
354. C2×#117C23semidirect
382. C22×C4⋊C4C23semidirect
456. #399C23semidirect
457. #399C23semidirect
458. #399C23semidirect
459. #398C23semidirect
460. #397C23semidirect
463. #396C23semidirect
464. #395C23semidirect
473. #394C23semidirect
474. #394C23semidirect
475. #394C23semidirect
476. #394C23semidirect
477. #394C23semidirect
478. #394C23semidirect
479. #393C23semidirect
492. #392C23semidirect
493. #392C23semidirect
494. #391C23semidirect
502. #390C23semidirect
503. #390C23semidirect
504. #390C23semidirect
505. #390C23semidirect
506. #389C23semidirect
507. #389C23semidirect
508. #389C23semidirect
509. #389C23semidirect
510. #389C23semidirect
519. #388C23semidirect
520. #388C23semidirect
521. #388C23semidirect
522. #388C23semidirect
523. #388C23semidirect
524. #387C23semidirect
525. #387C23semidirect
526. #387C23semidirect
527. #387C23semidirect
537. #386C23semidirect
538. #386C23semidirect
539. #386C23semidirect
540. #386C23semidirect
541. #386C23semidirect
546. #385C23semidirect
547. #385C23semidirect
548. #385C23semidirect
549. #385C23semidirect
550. #380C23semidirect
551. C4×C4⋊C4C23semidirect
552. C4×C4⋊C4C23semidirect
553. C4×C4⋊C4C23semidirect
557. C4×C22⋊C4C23semidirect
558. #376C23semidirect
775. #126C2×D4semidirect
1809. C2#44184direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×#5532
C22×#5382
C2×#27272
C2×#27142
C2×#27112
C2×#27102
C2×#26762
C2×#26712
C2×#26692
#441842
C2×#25412
C2×#25442
C2×#26102
C2×#25562
C2×#25552
C2×#25392
C2×#24452
C2×#24282
C2×#24672
C2×#24562
C2×#24552
C2×#24242
C2×#24432
C2×#23972
C2×#23732
C2×#23612
C2×#23582
C2×#23242